%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU119+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:44:30 PM UTC 2025
% Result : Theorem 56.69s 7.46s
% Output : CNFRefutation 56.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 5 unt; 0 def)
% Number of atoms : 86 ( 22 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 94 ( 44 ~; 35 |; 11 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 2 sgn 16 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t3_xboole_0,plain,
! [A,B] :
( ~ ( ~ disjoint(A,B)
& ! [C] :
~ ( in(C,A)
& in(C,B) ) )
& ~ ( ? [C] :
( in(C,A)
& in(C,B) )
& disjoint(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(t3_xboole_0_negated,plain,
~ ! [A,B] :
( ~ ( ~ disjoint(A,B)
& ! [C] :
~ ( in(C,A)
& in(C,B) ) )
& ~ ( ? [C] :
( in(C,A)
& in(C,B) )
& disjoint(A,B) ) ),
inference(negate_conjecture,[status(cth)],[t3_xboole_0]) ).
cnf(19,plain,
( ~ disjoint(sK5,sK6)
| sP1 ),
inference(cnf,[status(esa)],[t3_xboole_0_negated]) ).
cnf(l0,plain,
( ~ disjoint(sK5,sK6)
| sP1 ),
inference(instantiation,[status(thm)],[19]) ).
cnf(21,plain,
( disjoint(sK5,sK6)
| ~ sP1 ),
inference(cnf,[status(esa)],[t3_xboole_0_negated]) ).
cnf(l2,plain,
( disjoint(sK5,sK6)
| ~ sP1 ),
inference(instantiation,[status(thm)],[21]) ).
fof(d7_xboole_0,plain,
! [A,B] :
( disjoint(A,B)
<=> set_intersection2(A,B) = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_xboole_0) ).
cnf(12,plain,
( ~ disjoint(X0,X1)
| set_intersection2(X0,X1) = empty_set ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
cnf(l4,plain,
( ~ disjoint(sK5,sK6)
| set_intersection2(sK5,sK6) = empty_set ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l1,plain,
( disjoint(sK5,sK6)
| ~ sP1 ),
inference(instantiation,[status(thm)],[21]) ).
cnf(20,plain,
( ~ in(X0,sK6)
| ~ in(X0,sK5)
| sP1 ),
inference(cnf,[status(esa)],[t3_xboole_0_negated]) ).
cnf(l136,plain,
( ~ in(sK1(set_intersection2(sK5,sK6)),sK6)
| ~ in(sK1(set_intersection2(sK5,sK6)),sK5)
| sP1 ),
inference(instantiation,[status(thm)],[20]) ).
fof(d3_xboole_0,plain,
! [A,B,C] :
( C = set_intersection2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(4,plain,
( X0 != set_intersection2(X1,X2)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l195,plain,
( set_intersection2(sK5,sK6) != set_intersection2(sK5,sK6)
| ~ in(sK1(set_intersection2(sK5,sK6)),set_intersection2(sK5,sK6))
| in(sK1(set_intersection2(sK5,sK6)),sK5) ),
inference(instantiation,[status(thm)],[4]) ).
fof(d1_xboole_0,plain,
! [A] :
( A = empty_set
<=> ! [B] : ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(3,plain,
( X0 = empty_set
| in(sK1(X0),X0) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
cnf(l198,plain,
( set_intersection2(sK5,sK6) = empty_set
| in(sK1(set_intersection2(sK5,sK6)),set_intersection2(sK5,sK6)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(13,plain,
( set_intersection2(X0,X1) != empty_set
| disjoint(X0,X1) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
cnf(l215,plain,
( set_intersection2(sK5,sK6) != empty_set
| disjoint(sK5,sK6) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(6,plain,
( X0 != set_intersection2(X1,X2)
| ~ in(X3,X1)
| ~ in(X3,X2)
| in(X3,X0) ),
inference(cnf,[status(esa)],[d3_xboole_0]) ).
cnf(l77,plain,
( set_intersection2(sK5,sK6) != set_intersection2(sK6,sK5)
| ~ in(sK7,sK6)
| ~ in(sK7,sK5)
| in(sK7,set_intersection2(sK5,sK6)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(22,plain,
( in(sK7,sK6)
| ~ sP1 ),
inference(cnf,[status(esa)],[t3_xboole_0_negated]) ).
cnf(l99,plain,
( in(sK7,sK6)
| ~ sP1 ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l196,plain,
( set_intersection2(sK5,sK6) != set_intersection2(sK6,sK5)
| ~ in(sK1(set_intersection2(sK5,sK6)),set_intersection2(sK5,sK6))
| in(sK1(set_intersection2(sK5,sK6)),sK6) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(23,plain,
( in(sK7,sK5)
| ~ sP1 ),
inference(cnf,[status(esa)],[t3_xboole_0_negated]) ).
cnf(l100,plain,
( in(sK7,sK5)
| ~ sP1 ),
inference(instantiation,[status(thm)],[23]) ).
cnf(2,plain,
( X0 != empty_set
| ~ in(X1,X0) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
cnf(l102,plain,
( set_intersection2(sK5,sK6) != empty_set
| ~ in(sK7,set_intersection2(sK5,sK6)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(commutativity_k3_xboole_0,plain,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
cnf(1,plain,
set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
cnf(l83,plain,
set_intersection2(sK5,sK6) = set_intersection2(sK6,sK5),
inference(instantiation,[status(thm)],[1]) ).
cnf(l202,plain,
( set_intersection2(sK5,sK6) = empty_set
| in(sK1(set_intersection2(sK5,sK6)),set_intersection2(sK5,sK6)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l205,plain,
( set_intersection2(sK5,sK6) != empty_set
| disjoint(sK5,sK6) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l212,plain,
set_intersection2(sK6,sK5) = set_intersection2(sK5,sK6),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l4,l1,l136,l195,l198,l215,l77,l99,l196,l100,l102,l83,l202,l205,l212]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU119+2 : TPTP v9.0.0. Released v3.3.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 23:31:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.39 % launching worker at depth: 11
% 14.98/2.29 % launching worker at depth: 12
% 56.69/7.46 % SZS status Theorem for theBenchmark
% 56.69/7.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------